# Fall 2009 Test 1 Answers - SI: Name Math 122 Test 1 EF:...

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Unformatted text preview: SI: Name Math 122 Test 1 EF: September 15, 2009 4 5 Style Points Total Directions: 1. No books, notes or having your two—year old feed the fish. You may use a calculator to do routine arithmetic computations. You may not use your calculator to store notes or formulas. You may not share a calculator with anyone. . You should show your work, and explain how you arrived at your an— swers. A correct answer with no work shown (except on problems which are completely trivial) will receive no credit. If you are not sure whether you have written enough, please ask. . You may not make more than one attempt at a problem. If you make several attempts, you must indicate which one you want counted, or you will be penalized. You may leave as soon as you are ﬁnished, but once you leave the exam, you may not make any changes to your exam. 1. (15 points) (3.) Compute / sin (I: dx 1 + 0032 :1; u: Coax dX: d0 d0: —SsNX dx vSsNK L. S 5*“ dU _ —— RQc—mmu ‘2. i~x~ U wink/X 2 ~ Rec-17W {COS'XWN‘F C/l (b) Compute/ mic—1 d3: (Hint:/ uif a2 du=\/u2—a2—aarcsec (—:>+C) _L U 7 (ﬁx: 9})... do: 3X dx a>< 1 01—1 d0 = J— W OM) ._____._ a\ U >< 3% .L( U2.~ _. RQCSEC U> & x 2 K. LW _— RRC€€L(><)> (7/ 2. (20 points) 3. (20 points) (3) Compute /(ta1121 as) (sec4m )da: OITQMX dx; d0 do: 5.5sz dr>< 5‘3sz ’2. '2\ U l r g Q sang 9-; = Swwgau 3‘ ‘K 9 '7." 21 u ’2- 2| 1? j u +\) OH) — AL 3’ 3% 261 7‘1 '12 : + + C- DJ-\ 2; // b Onlue m pt /\$2+\$—6d\$ : A Jr :3, : pﬁ~a3thL+33 (x -+ 31mg >< +3 1-2; 22 2 x, :L =— 5% g"; X ~3~ J’v :‘5“ \$3 25" 2 r: S g "V i 03X 2 37“ thx‘fall‘} % OMAX’R]+ “3 #1 9 4. (20 points) (a) Compute \$3+x2+33—1 ~——-—d.’13 / a32+2x+2 2 ' Xw‘ X +90<+§l \X3+><2+X~l x3+axz+a>< _xZ—x—l _~xz—3'X—2 X“? I jx—x —\- :+ 04x =,‘>£2~><+—'—ﬂm\*z+3*+a‘ x+90<+1 9‘ I +C v=x1+17<+1 dmzaxmdﬁ (b) Compute / Win“? d3: U;'9.X+\ X j 2X dxthdX dwadx HX +qx+\+ (b {3X+n “HQ .~ 0‘” ma— 2. U” x . ,.u'-‘ j? «H 7" a 014 W? 0346 “7‘ (aw F 2 (“14 MD 074% J UH; ‘ 2 ) TAN—E— ; J—MNMM " a; “QC H H \$ \ I OMM-ijlmd " LRQCTﬂmgﬂxx + C “q (1:? q ”‘ // 5. (20 points) Z 2 \ . (a) Compute/\$211:1 dm 7 j ’LX dx‘ ‘\‘ 3 2X 0 (3 SC "1 \ X4 x .2 4% 4‘ B _ W 11—4 '><~\ 7K+3 % ,.L 2‘ \ = QR W 2 Bc—L X:"\ F‘ = “9‘3 1 I2 . I z i * "‘f,d>< 1‘ éhkx"\+§&“\x+‘\\ 7m \$1M bl DGNG‘t/Q BR0 1 \ ‘ 2. (b)Compute/mdaz 7: j “ﬁt—.3de 256w) I \l-— ‘ g _ “ 92‘s); 3 RPCT‘AN K) ,_ ,L " "r \ du- a) 7K X t 3 RQC‘TRN (XL?) + FORMULA PAGE \$1112 6 + cos2 6 = 1 tan2 6 + 1 2 sec:2 6 1 + cot2 6 = CSC2 6 = cos oz cos 6 + sin a sin 6 tan oz + tan ,8 2m 2 1 — c0322: 2 1 + 00822: 2 sin 2x = 2 sinm C083: Sin 0082 51) = (sin x)’ = cosm (cos :c)’ = — sings (tan m)’ 2 sec2 33 (sec 3:)' = secmtanm ((380 a:)’ = — 080 m cot ac (cot 33)’ = — 0502 \$ (em)l = 6:1: 1 1 l:— (1133) m (arcsin m)’ = \/1—3132 1 (arctan 33)’ = 1 Mix/1:2 — 1 f(%) \$n+1 :\$n_ flog ) n fw=f@-ﬂ® (arcsec m)’ = : 1 — tanatanﬁ 1 b—a ﬂ®= jﬂmm /sec:z:da: =lnlseczc+tanm| +0 1 fsec‘q’ x d2: = —2-[S€C:1:tana: +111| secs: + tanm]]+0 /csca:d:c =111|csca:—cota:| +0 1+1 = 2 ...
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## This note was uploaded on 02/17/2010 for the course MATH 122 taught by Professor Butler during the Spring '07 term at Case Western.

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Fall 2009 Test 1 Answers - SI: Name Math 122 Test 1 EF:...

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